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Finding the Fourth Proportional to 546.24, 814.19 and 542.00

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Solution

The fourth proportional to 546.24, 814.19 and 542.00 is: 807.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.24 : 814.19 = 542.00 : x
  2. Step 2: Convert to fraction form
    546.24/814.19 = 542.00/x
  3. Step 3: Cross multiply
    546.24x = 814.19 × 542.00
  4. Step 4: Simplify right side
    546.24x = 441,284.20
  5. Step 5: Solve for x
    x = 441,284.20/546.24
  6. Step 6: Final answer
    x = 807.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.